A Six-Tap iToF Imager with Wide Signal Intensity Range Using Linearization of Linear–Logarithmic Response

Time-of-flight (ToF) image sensors must operate across a wide span of reflected-light intensities, from weak diffuse reflections to extremely strong retroreflections. We present a signal-intensity range-extension technique that linearizes the linear-logarithmic (Lin-Log) pixel response for short-pulse multi-tap indirect ToF (iToF) sensors. Per-pixel two-region (2R) and three-region (3R) models covering the linear, transition, and logarithmic regimes are derived and used to recover a near-linear signal. Compared with a two-region approach that does not linearize the transition region, the 3R method substantially improves linearity near the knee point if extremely high linearity is required. Experiments with a six-tap iToF imager validate the approach. Depth imaging shows that linearization with common parameters reduces average error but leaves pixel-wise deviations, whereas pixel-wise 3R linearization yields accurate and stable results. Range measurements with a retroreflective target moved from 1.8-13.0 m in 0.20 m steps and achieved centimeter-level resolution and reduced the linearity-error bound from ±6.7%FS to ±1.5%FS. Residual periodic deviations are attributed to small pulse-width mismatches between the illumination and demodulation gates. These results demonstrate that Lin-Log pixels, combined with pixel-wise three-region linearization, enable robust ToF sensing over an extended dynamic range suitable for practical environments with large reflectance variations.

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Publication Details

Journal
Sensors
Published
2025-12-12
DOI
https://doi.org/10.3390/s25247551
Primary Topic
Advanced Optical Sensing Technologies
Type
article
Field-Weighted Citation Impact
0.00

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article

A Six-Tap iToF Imager with Wide Signal Intensity Range Using Linearization of Linear–Logarithmic Response

Hitoshi Sugimura, Tomohiro Okuyama, Kamel Mars, Keita Yasutomi et al.
Sensors
Advanced Optical Sensing Technologies
article

A Six-Tap iToF Imager with Wide Signal Intensity Range Using Linearization of Linear–Logarithmic Response

Hitoshi Sugimura, Tomohiro Okuyama, Kamel Mars, Keita Yasutomi, Keiichiro Kagawa, De Xing Lioe, Shoji Kawahito, HYEUN WOO KWEN, Gabriel Alcade, Seiya Ageishi
article en

Abstract

Time-of-flight (ToF) image sensors must operate across a wide span of reflected-light intensities, from weak diffuse reflections to extremely strong retroreflections. We present a signal-intensity range-extension technique that linearizes the linear-logarithmic (Lin-Log) pixel response for short-pulse multi-tap indirect ToF (iToF) sensors. Per-pixel two-region (2R) and three-region (3R) models covering the linear, transition, and logarithmic regimes are derived and used to recover a near-linear signal. Compared with a two-region approach that does not linearize the transition region, the 3R method substantially improves linearity near the knee point if extremely high linearity is required. Experiments with a six-tap iToF imager validate the approach. Depth imaging shows that linearization with common parameters reduces average error but leaves pixel-wise deviations, whereas pixel-wise 3R linearization yields accurate and stable results. Range measurements with a retroreflective target moved from 1.8-13.0 m in 0.20 m steps and achieved centimeter-level resolution and reduced the linearity-error bound from ±6.7%FS to ±1.5%FS. Residual periodic deviations are attributed to small pulse-width mismatches between the illumination and demodulation gates. These results demonstrate that Lin-Log pixels, combined with pixel-wise three-region linearization, enable robust ToF sensing over an extended dynamic range suitable for practical environments with large reflectance variations.

SensorsVol. 25(24)
Shizuoka University (JP), Hamamatsu University (JP), Shizuoka Institute of Science and Technology (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 62%
Advanced Optical Sensing Technologies
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